Question

Church organs have a set of pipes with different lengths. With those different pipes organs can produce sounds over a wide range of frequencies. If the lowest frequency produced by an organ is 31.6 Hz, and the highest frequency is 1.80 kHz, then what is the shortest possible wavelength of sound the organ can produce? Assume that the speed of sound is 336 m/s.
B) What is the longest possible sound wavelength the organ can produce?

Answer 1

a)

The relation between wavelength of the wave, speed of the wave and the frequency of the wave is,

From the above relation we say that for a given speed, the wave length of the wave is inversely proportional to the frequency. So the shortest possible wavelength occurs for highest frequency. Thus the shortest possible wavelength is,

b)

The longest possible wavelength occurs for lowest frequency. Thus the longest possible wavelength is ,

a) The relation between wavelength of the wave, speed of the wave and the frequency of the wave is, 1 From the above relation we say that for a given speed, the wave length of the wave is inversely proportional to the frequency. So the shortest possible wavelength occurs for highest frequency. Thus the shortest possible wavelength is, aighos 336m/s 1.80x10 Hz = 0.1 867 m 0.19m b) The longest possible wavelength occurs for lowest frequency. Thus the longest possible wavelength is, owest 336m/s 31.6Hz -10.63m